" 5."2x(p^(2)+q^(2))+4y(p^(2)+q^(2))quad " 6."x(a-

If AM and GM of x and y are in the ratio p: q, then x: y is : a) p - sqrt(p^(2)+ q^(2)) : p +sqrt (p^(2)+ q^(2)) b) p +sqrt(p^(2) - q^ (2) ) : p- sqrt(p^(2)-q^(2)) c) p : q d) p + sqrt(p^(2) + q^(2)) : p-sqrt(p^(2) + q^(2))

If x=(sqrt(p^(6)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))) then q^(2)x^(2)-2p^(2)x+q^(2)=?

If the ratio of A.M. of two numbers x and y to their G.M. is p : q, show that, x : y = (p + sqrt(p^(2) - q^(2))) : (p- sqrt(p^(2) - q^(2)))

Find the product.(i) (5-2x)(3+x) (ii) (x+7y)(7x-y)( iii) (a^(2)+b)(a+b^(2))( iv) (p^(2)-q^(2))(2p+q)

If the difference of the roots of x^(2)-px+q=0 is unity,then p^(2)+4q=1b .p^(2)-4q=1c*p^(2)+4q^(2)=(1+2q)^(2)d4p^(2)+q^(2)=(1+2p)^(2)

Divide the given polynomial by the given monomial.( i (5x^(2)-6x)-:3x (ii) (3y^(8)-4y^(6)+5y^(4))-:y^(4)( iii) 8(x^(3)y^(2)z^(2)+x^(2)y^(3)z^(2)+x^(2)y^(2)z^(3))-:4x^(2)y^(2)z^(2)(iv)(x^(3)+2x^(2)+3x)-:2x(v)(p^(3)q^(6)-p^(6)q^(3))-:p^(3)q^(3)

Let (x,y) be a pair of real number satisfying 56x+33y=-(y)/(x^(2)+y^(2)) and 33x-56y=(x)/(x^(2)+y^(2)) . If x/y=(p)/(q) (where p and q are relatively prime and pgtq ) then (6p-q) is